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Finding the Fourth Proportional to 77,447.82, 116,176.05 and 22,039.50

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Solution

The fourth proportional to 77,447.82, 116,176.05 and 22,039.50 is: 33,060.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,447.82 : 116,176.05 = 22,039.50 : x
  2. Step 2: Convert to fraction form
    77,447.82/116,176.05 = 22,039.50/x
  3. Step 3: Cross multiply
    77,447.82x = 116,176.05 × 22,039.50
  4. Step 4: Simplify right side
    77,447.82x = 2,560,462,053.98
  5. Step 5: Solve for x
    x = 2,560,462,053.98/77,447.82
  6. Step 6: Final answer
    x = 33,060.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.